{
  "id": "0802.1720",
  "version": "v2",
  "published": "2008-02-12T21:12:45.000Z",
  "updated": "2008-09-02T23:09:45.000Z",
  "title": "Differentiable Conjugacy of Anosov Diffeomorphisms on Three Dimensional Torus",
  "authors": [
    "Andrey Gogolev",
    "Misha Guysinsky"
  ],
  "comment": "Several minor errors are fixed. 18 pages, 6 figures. Comments are welcome",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider two C^2 Anosov diffeomorphisms in a C^1 neighborhood of a linear hyperbolic automorphism of three dimensional torus with real spectrum. We prove that they are C^1+ conjugate if and only if the differentials of the return maps at corresponding periodic points have the same eigenvalues.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-09-02T23:09:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C15",
      "37D20"
    ],
    "keywords": [
      "anosov diffeomorphisms",
      "dimensional torus",
      "differentiable conjugacy",
      "linear hyperbolic automorphism",
      "real spectrum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.1720G"
    }
  }
}